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Finding the Fourth Proportional to 917.22, 1,265.82 and 544.16

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Solution

The fourth proportional to 917.22, 1,265.82 and 544.16 is: 750.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.22 : 1,265.82 = 544.16 : x
  2. Step 2: Convert to fraction form
    917.22/1,265.82 = 544.16/x
  3. Step 3: Cross multiply
    917.22x = 1,265.82 × 544.16
  4. Step 4: Simplify right side
    917.22x = 688,808.61
  5. Step 5: Solve for x
    x = 688,808.61/917.22
  6. Step 6: Final answer
    x = 750.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.